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Simplifying 45a4 + -210a2 + 245 = 0 Reorder the terms: 245 + -210a2 + 45a4 = 0 Solving 245 + -210a2 + 45a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5'. 5(49 + -42a2 + 9a4) = 0 Factor a trinomial. 5((7 + -3a2)(7 + -3a2)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(7 + -3a2)' equal to zero and attempt to solve: Simplifying 7 + -3a2 = 0 Solving 7 + -3a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3a2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3a2 = 0 + -7 -3a2 = 0 + -7 Combine like terms: 0 + -7 = -7 -3a2 = -7 Divide each side by '-3'. a2 = 2.333333333 Simplifying a2 = 2.333333333 Take the square root of each side: a = {-1.527525232, 1.527525232}Subproblem 2
Set the factor '(7 + -3a2)' equal to zero and attempt to solve: Simplifying 7 + -3a2 = 0 Solving 7 + -3a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3a2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3a2 = 0 + -7 -3a2 = 0 + -7 Combine like terms: 0 + -7 = -7 -3a2 = -7 Divide each side by '-3'. a2 = 2.333333333 Simplifying a2 = 2.333333333 Take the square root of each side: a = {-1.527525232, 1.527525232}Solution
a = {-1.527525232, 1.527525232, -1.527525232, 1.527525232}
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